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musickatia [10]
3 years ago
10

The volume of a prism is 230 mm3.

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

A).  Yes.  When you convert to a larger unit, you need less of them
to hold the same volume, so the number decreases. 
(You have less gallons of gas in the tank than cups of gas.)

B).  No, for the same reason.

C).
D).
No,no !  Both are absurd.  The volume doesn't know or care what unit you're
using to describe it, and certainly doesn't depend on the unit you use.
(Changing the number of kilometers to Grandma's house to miles
doesn't change the distance.)

E).  Yes. As I've been trying to say all along, the actual volume doesn't change.


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Justin loans his uncle $2,500. He charges 6.5% simple interest. His uncle pays him back in 2.5 years. How much interest does his
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3 years ago
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-4 3/5 divided by 1 1/5 as a mixed number or simplified
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-23 over 5 ÷ 11 over 5
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What is 4 60/72 as a decimal
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Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
3 years ago
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